Search a number
-
+
424134317352 = 2331929177718049
BaseRepresentation
bin1100010110000000110…
…00000001010100101000
31111112202122112201110110
412023000120001110220
523422111341123402
6522502234214320
742433305133164
oct6130030012450
91445678481413
10424134317352
11153968846219
126a2498843a0
1330cc37052b5
14167575a3ca4
15b0755bc56c
hex62c0601528

424134317352 has 128 divisors (see below), whose sum is σ = 1155344400000. Its totient is φ = 129238695936.

The previous prime is 424134317311. The next prime is 424134317359. The reversal of 424134317352 is 253713431424.

It is a self number, because there is not a number n which added to its sum of digits gives 424134317352.

It is not an unprimeable number, because it can be changed into a prime (424134317359) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23490024 + ... + 23508072.

It is an arithmetic number, because the mean of its divisors is an integer number (9026128125).

Almost surely, 2424134317352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 424134317352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (577672200000).

424134317352 is an abundant number, since it is smaller than the sum of its proper divisors (731210082648).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

424134317352 is a wasteful number, since it uses less digits than its factorization.

424134317352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19883 (or 19879 counting only the distinct ones).

The product of its digits is 241920, while the sum is 39.

Adding to 424134317352 its reverse (253713431424), we get a palindrome (677847748776).

The spelling of 424134317352 in words is "four hundred twenty-four billion, one hundred thirty-four million, three hundred seventeen thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 19 24 29 38 57 58 76 87 114 116 152 174 228 232 348 456 551 696 1102 1653 1777 2204 3306 3554 4408 5331 6612 7108 10662 13224 14216 18049 21324 33763 36098 42648 51533 54147 67526 72196 101289 103066 108294 135052 144392 154599 202578 206132 216588 270104 309198 342931 405156 412264 433176 523421 618396 685862 810312 979127 1028793 1046842 1236792 1371724 1570263 1958254 2057586 2093684 2743448 2937381 3140526 3916508 4115172 4187368 5874762 6281052 7833016 8230344 9944999 11749524 12562104 19889998 23499048 29834997 32073073 39779996 59669994 64146146 79559992 96219219 119339988 128292292 192438438 238679976 256584584 384876876 609388387 769753752 930119117 1218776774 1828165161 1860238234 2437553548 2790357351 3656330322 3720476468 4875107096 5580714702 7312660644 7440952936 11161429404 14625321288 17672263223 22322858808 35344526446 53016789669 70689052892 106033579338 141378105784 212067158676 424134317352